Least Common Multiple (LCM) of 174 and 184
The least common multiple (LCM) of 174 and 184 is 16008.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 174 and 184?
First, calculate the GCD of 174 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 184 = 0 remainder 174 |
| 2 | 184 ÷ 174 = 1 remainder 10 |
| 3 | 174 ÷ 10 = 17 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 29 | 1015 |
| 128 and 108 | 3456 |
| 132 and 74 | 4884 |
| 156 and 38 | 2964 |
| 74 and 107 | 7918 |